1
JEE Advanced 2013 Paper 1 Offline
Numerical
+4
-0
The coefficient of three consecutive terms of $${\left( {1 + x} \right)^{n + 5}}$$ are in the ratio $$5:10:14.$$ Then $$n$$ =
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2
JEE Advanced 2013 Paper 1 Offline
Numerical
+4
-0
Consider the set of eight vectors $$V = \left\{ {a\,\hat i + b\,\hat j + c\hat k:a,\,b,\,c\, \in \left\{ { - 1,\,1} \right\}} \right\}$$. Three non-coplanar vectors can be chosen from v in $${2^p}$$ ways. Then p is
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3
JEE Advanced 2013 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
Let $${S_n} = {\sum\limits_{k = 1}^{4n} {\left( { - 1} \right)} ^{{{k\left( {k + 1} \right)} \over 2}}}{k^2}.$$ Then $${S_n}$$can take value(s)
A
1056
B
1088
C
1120
D
1332
4
JEE Advanced 2013 Paper 1 Offline
Numerical
+4
-0
A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards in 1224. If the smaller of the numbers on the removed cards is k, then k - 20 =
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